Question

Please help me with this question: Find the limit

Answer 1

1/5

Step-by-step explanation:

Answer 2

The solution is 1/5 or 0,2

Explanation:

`\displaystyle \sf\lim_(x \to 3) \frac{ {x}^(2) - 5x + 6 }{2 {x}^(2) - 7x + 3} \: \: \: \: \: \: \: \: \: \\\\ = \displaystyle \sf\lim_(x \to 3) ((x - 2)(x - 3))/((2x - 1)(x - 3)) \\\\ = \displaystyle \sf\lim_(x \to 3) \frac{(x - 2)\cancel{(x - 3)}}{(2x - 1)\cancel{(x - 3)}} \\\\ = \displaystyle \sf \lim_(x \to 3) ((x - 2))/((2x - 1)) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\\\ \sf x = 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\\\ \sf = ((3 - 2))/((2(3) - 1)) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\\\ = \boxed{\sf (1)/(5) \: or \: 0.2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:`